Continuity and differentiability class 12 one shot | class 12 continuity and differentiability

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Q) If tan^(−1) 𝑥=𝑦, then 𝑑𝑦/𝑑𝑥 is equal to #continuity_and_differentiability #maths #cbse

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Q) The value of 𝑘 for which the function 𝑓(𝑥)={(𝑥^2 sin 1/𝑥, 𝑥≠0 𝑘(𝑥+1), 𝑥=0) is a continuo

Q) If 𝑓(𝑥)={(1,if 𝑥≤3 𝑎𝑥+𝑏, if 3 ≤𝑥≤ 7, if 5≤𝑥) is continuous in 𝑅, then the values of

Q) If 𝑓(𝑥)={(sin𝑥/𝑥+cos𝑥, 𝑥≠0 𝑘, 𝑥=0) is continuous at 𝑥=0, then the value of 𝑘 is :

Q) The value of k for which f(x)={(sin7x/5x,x≠0 k,x=0) is continuous at x=0 is

Q) If 𝑦=sin⁡(𝑥+𝑦) and 𝑑𝑦/𝑑𝑥=0, then prove that 𝑦=±1.#class12maths

Q) Evaluate: Integral ∫cos⁡〖𝑥 −cos⁡2𝑥 〗/(1 −cos⁡𝑥 ) 𝑑𝑥 #maths #cbse2024 #integrationclass

Q) Find the range of 𝜋/2+sec^(−1) (𝑥/2)

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Q) If 𝑓(𝑥)={ ((𝑥^2−4𝑥−5)/(𝑥+1), 𝑥≠−1 𝑘,&𝑥=−1 is continuous at 𝑥=−1, then the value of 𝑘 i